Stable extendibility of the tangent bundles over the lens spaces

Hiroshima mathematical journal Volume 36 Issue 3 Page 339-351 published_at 2006-11
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Title ( eng )
Stable extendibility of the tangent bundles over the lens spaces
Creator
Source Title
Hiroshima mathematical journal
Volume 36
Issue 3
Start Page 339
End Page 351
Abstract
The purpose of this paper is to study the stable extendibility of the tangent bundle τ_n(p) of the (2n+1)-dimensional standard lens space L^n(p) for odd prime p. We investigate the value of integer m for which τ_n(p) is stably extendible to L^m(p) but not stably extendible to L^<m+1>(p), and in particular we completely determine m for p=5 or 7. A stable splitting of τ_n(p) and the stable extendibility of a Whitney sum of τ_n(p) are also discussed.
Keywords
tangent bundle
lens space
stably extendible
KO-theory
NDC
Mathematics [ 410 ]
Language
eng
Resource Type departmental bulletin paper
Publisher
Department of Mathematics, Graduate School of Science, Hiroshima University
Date of Issued 2006-11
Publish Type Version of Record
Access Rights open access
Source Identifier
[ISSN] 0018-2079
[NCID] AA00664323